RT Journal Article
T1 High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties
A1 Pimentel García, Ernesto
A1 Müller, Lucas
A1 Toro, Eleuterio F.
A1 Parés-Madroñal, Carlos María
K1 Flujo sanguíneo
K1 Método de los volúmenes finitos
K1 Análisis numérico
AB In this paper, we are interested in the numerical study of the one-dimensional blood flow model with discontinuous mechanical and geometrical properties. We present the mathematical model together with its nondimensional form. We do an exhaustive investigation of all its stationary solutions and we propose high-order fully well-balanced numerical methods that are able to preserve all of them. They are based on the combination of the Generalized Hydrostatic Reconstruction and well-balanced reconstruction operators. These methods are able to deal with more than one discontinuous parameter. Several numerical tests are shown to prove its well-balanced and high-order properties, and its convergence to the exact solutions.
PB Elsevier
YR 2022
FD 2022-12-27
LK https://hdl.handle.net/10630/26505
UL https://hdl.handle.net/10630/26505
LA eng
NO Ernesto Pimentel-García, Lucas O. Müller, Eleuterio F. Toro, Carlos Parés, High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties, Journal of Computational Physics, Volume 475, 2023, 111869, ISSN 0021-9991, https://doi.org/10.1016/j.jcp.2022.111869.
NO The research of EPG and CP was partially supported by the Spanish Government (SG), the European Regional Development Fund (ERDF), the Regional Government of Andalusia (RGA), and the University of Málaga (UMA) through the projects of reference RTI2018-096064-B-C21 (SG-ERDF), UMA18-Federja-161 (RGA-ERDF-UMA), and P18-RT-3163 (RGA-ERDF). EPG was also financed by the European Union – NextGenerationEU.  //   Funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026